Technical Aspects of Supervision - 1st Edition - ISBN: 9780080155883, 9781483140490

Technical Aspects of Supervision

1st Edition

The Commonwealth and International Library: Supervisory Studies

Authors: A. Lawlor
eBook ISBN: 9781483140490
Imprint: Pergamon
Published Date: 1st January 1970
Page Count: 156
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Description

Supervisory Studies: Technical Aspects of Supervision focuses on the technical aspects of management and their relationship to the job of the foreman.

The book first takes a look at the organization of factories, including production system, size and character of factories, types of production, production facilities, and methods in handling materials. The text then discusses production design and development. Topics include technological change, market research, design of products, legal protection, patents, registered designs, and trademarks.

The monograph reviews the process of production planning and control. Position of production control in the organization; production control and the control of production; divisions of production control; materials movement; and product specification are given importance. The text also reviews the technique of work study, including factory waste, status and division of work study, rules of motion economy, wage payment systems, and work measurement. The text is an important resource material for readers interested in the technical aspects of management.

Table of Contents


Contents

Preface

How to Use This Book

Cross-References and Formulae

Heading Markings

Bullets

Exercises and Problems

Proofs

Notation

Warning. Asterisks

1. Revision of Quantum Mechanics

1. Basic Experimental Facts

2. Heisenberg^ Uncertainty Principle

3. The State Function

4. Stationary States

5. Normalization

6. Operators and Eigenvalue Equations

7. The Operator p

8. The Operator x

9. The Hamiltonian and the Schrödinger Equation

10. Boundary Conditions: Quantization

11. Degeneracy

12. Commuting Operators

13. Physical Meaning of Degeneracy

14. Exercise: Electron in A Box

75. Time Dependence

16. Wave and Group Velocities

17. Mean Values

18. The Variational Method

19. Exercises: The Hermitian Property. Orthogonality

2. Free-Electron Theory of Metals

1. The One-Particle Approximation

2. Core and Metal Electrons. Pauli Principle

3. The Free-Electron Model

4. Periodic (Born-Von Karman) Boundary Conditions

5. The Wave Function: Normalization

6. The Eigenfunctions in Three Dimensions

7. Degeneracy of The Levels

8. The Fermi Energy

9. The Density of States

10. Soft X-Rays

11. Heat Capacities

3. The Effect of the Crystal Field in One Dimension: Bloch Functions

1. The Use of Translational Symmetry

1. Symmetry Operations

2. Symmetry Operators

3. The Eigenfunctions of The Symmetry Operators Are Eigenfunctions of the Hamiltonian

4. S-Degeneracy

5. The Importance of Continuity

2. S-Degeneracy of The Eigenfunctions of The Translations

3. Symmetry Operations of The Linear Chain: Translations and Inversion

4. The Eigenfunctions of The Translations

1. Bloch Functions

2. Continuity: Bands

5. Quantization of k

6. Physical Considerations

1. The Weak-Field Limit

2. The Free-Atoms Limit

3. Energy Gaps

7. The Number of Eigenfunctions

1. The Number of Different Eigenvalues is N

2. Periodicity in k

3. The Number of Bloch Functions is N

8. The Effect of the Inversion

1. The Inversion Changes k Into —k: Proof

2. The Role of the Bloch Functions

9. Degeneracy of the Bloch Functions

10. Periodicity of the Energy

11. Change of Interval

12. Further Properties of the E(k) Curve

13. Extended and Reduced Band Schemes: Brillouin Zones

14. Band Crossings

15. Filling in of The Energy States

16. Propagation of An Electron in The Lattice: The Periodically Repeated Scheme

17. Bragg Reflections

18. Conductors and Insulators

19. Effective Mass. Holes

20. The Wave Functions

21. Lattice with Basis

22. Exercise: The Energy Gap

1. Method

2. Remarks

23. The Nearly Free-Electron Approximation

24. Fourier Coefficients of the Potential

4. Bloch Functions and Brillouin Zones in Three Dimensions

1. Crystal Periodicity

7. Primitive and Unit Cells

2. Bloch Functions in Three Dimensions

3. Scalar Product and Reciprocal Vectors

4. Reciprocal Lattice

5. The Bloch Functions in Vector Notation

6. The Wave Vector

7. Symmetry in The Reciprocal Space

8. E(k) = E(—k): Complex Conjugation

1. Complex Conjugation

9. The First Brillouin Zone

10. Brillouin Zones of Higher Order

11. Number of States in The Brillouin Zone

12. Conditions For The Faces of The Brillouin Zones

13. Symmetry Elements and The Faces of The Brillouin Zone

14. Energy Contours, Filling-In of Zones, and Fermi Surfaces

15. Bands, Overlaps, Conductors, and Insulators

16. Velocity

17. The Brillouin Zone For Cubic Lattices

1. Properties of The Faces of The F.C.C. Brillouin Zone

18. Hexagonal Close-Packed Lattice. Jones Zones

19. Sticking Together of Bands in The H.C.P. Lattice

20. Fourier Series in Three Dimensions

1. The Orthonormal Functions

2. Expansion of The Periodic Functions

21. Lattice with Basis. Structure Factor

22. The Nearly Free-Electron Approximation

1. The Basic Expansion

2. Condition For The Matrix Elements

3. Form of The Expansion

4. The Energy Gaps

5. The Structure Factor and Energy Gaps

5. Some Applications of Brillouin Zone Theory

1. The Jones Theory of The Hume-Rothery Rules

2. Further Theories of Phase Stability

3. Peaks in The Density of States Curves

4. Effect of The Fermi Energy On Lattice Parameters

6. The Calculation of Band Structures and Fermi Surfaces

1. The Problem and The Basic Equations

1. The Bloch Sums

2. The Energy Eigenvalues

1. The secular determinant

3. Exercise: Tight-Binding Treatment of A Linear Chain

1.Formulae

2. The Bloch Sums

3. Computation of the Energy

4. S and D bands

5. Computation of the Energy

3. The Nearly Free-Electron and Orthogonalized Plane Waves Method

4. The Cellular Method

1. The Potential Muffin Tins

5. The Augmented Plane Wave Method (APW)

6. Density of States and Fermi Surfaces

7. Comparison with Experiment: Heat Capacities and De Haas-Van Alphen Effect

1. Density of States and Heat Capacity

2. The De Haas-Van Alphen Effect

8. The Band Structure and Fermi Surface of Copper

1. The Band Structure

2. The Density of States

3. The Fermi Surface and Comparison with De Haas-Van Alphen Results

General References

Index


Details

No. of pages:
156
Language:
English
Copyright:
© Pergamon 1970
Published:
Imprint:
Pergamon
eBook ISBN:
9781483140490

About the Author

A. Lawlor